3 years ago

PLEASE HELP ME!!!! Find the volume of this sphere. Use 3 for pi.

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

904cm3 just use an online sphere calculator they're easy to use

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find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:

lbvjy [14]

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

$\lim_{x \to 1^{-}} f(x)=(x+1)$

$=2$

$\lim_{x \to 1^{+}} f(x)=ax+b$

$=a+b$

$\lim_{x \to 1} f(x)=ax+b$

$=a+b$

And for the continuity of the function at x = 1,

$\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)$

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

$\lim_{x \to 2^{-}} f(x)=ax+b$

$=2a+b$

$\lim_{x \to 2^{+}} f(x)=3x$

$=6$

$\lim_{x \to 2} f(x)=3x$

$=6$

Therefore, $\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)$

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

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